[-0)^ (m + m^) + icj (c^ + BS) ] v - BS^e - w^h^m^e^ = 



2 2 2 



to h^m^v + (k + iu)c) 9 + [to (l^ + hQUi^) - k - itoc] 6^ = 



[hm -L(m+m)]v+ie+(l + h^m - h Lm ) 6 =0 

 oo o oooooo 



The de terrain ant of the coefficients of v, 9, and 9 in these equations has 



o 



the value : 



[-u^ (m + m ) + ito (c + BS)] (k + itoc) (I + h^m„ - h„Lm„) 

 o a o o o o o 



2 2 9 



- BS [to (I + h'^m ) - k - itocjlh m - L (m + m ) ] 

 o o o o o o 



U ? ? 2 



-(johml + tohm (k + itoc)[h m - L (m + m ) 1 

 o o o o o o o 



+ BS^to^h m (I + h^m - h Lm ) - I [(o^(l + h^m ) - k - itoc] 

 ooo oo oo o oo 



[-to^(m + m ) + ito (c + BS) ] 



Multiplying out and equating to zero separately the real part and the 

 imaginary part divided by io) yields: 



to I [I^ (m + m^) + h^mniQ] - to | k[(l + Io)(m + m^) + h^mm^ ] 



c (c^ + BS)(I + Iq + h^m^ - h^Lm^) [ + BS | k[h^m^ - L (m + m^)] 



+ to^L [Iq (m + m^) + h^mm^] \ = [75a] 



-i/ I (c^ + BS) I (Iq + h^m^) + c[(l + l^){m + m^) + h^mmQ ] f 



+ k(c + BS)(I + I + h^m - h Lm„) + cBS^ [h^m^ - L(m + m.)] = [T5b] 

 a 00000 00 o 



or, provided c > and c + BS > : 



8U 



